title of the assignment: simple harmonic motion lab...

GENERAL EDUCATION COMMON ASSESSMENT TEMPLATE

1. TITLE & NUMBER OF THE COURSE: Physics 2325/2125, University Physics I

2. TITLE OF THE ASSIGNMENT: Simple Harmonic Motion Lab

3. GENERAL EDUCATION CORE OBJECTIVES TO BE ASSESSED WITH THIS ASSIGNMENT (List specific general education outcomes and any student learning outcomes):

A. Critical Thinking

B. Quantitative and Empirical Skills

C. Communication

D. Teamwork

4. DESCRIPTION OF ASSIGNMENT (as it would appear in your syllabus or class handouts) Use the Force Sensor to measure the spring constant k for the spring. Use the Motion

Sensor to measure the period of motion for the spring.

Assignment Design Worksheet: Critical Thinking Course

Assignment Title

Assignment ID

PHYS 2325

Simple Harmonic Motion – Mass on a Spring

(to be assigned)

Criterion Design (How does the assignment ask students to perform in the manner

expected by the criterion?)

Explanation of

Issues

Students are asked to explain the purpose of an experiment, what investigated

and what, specifically, they are were trying to determine.

Evidence Students are asked to explain the theory behind the experiment and how what

they measured was used to fulfill the purpose of the lab.

Students collect data and perform analysis to provide evidence to support their

purpose.

Influence of

Context and

Assumptions

Students are asked to explain the theory behind the experiment and how what


Students are asked to write a conclusion that discusses the quality of the

methods used to collect data. They are asked to discuss the uncertainties in

the measurements involved and possible errors causing the experimental

results to differ from the theoretical expectations. They are also asked to

suggest improvements to reduce the uncertainties and errors.

Student’s Position Students are asked to write a conclusion that discusses the quality of the





Conclusions and

Related Outcomes






Assignment Design Worksheet: Empirical & Quantitative

Reasoning (EQR) Course

Assignment Title

Assignment ID

PHYS 2325


(to be assigned)

Criterion Design (How does the assignment ask students to perform in the manner expected

by the criterion?)

Interpretation Students are asked to write a conclusion that discusses the quality of the methods

used to collect data. They are asked to discuss the uncertainties in the measurements

involved and possible errors causing the experimental results to differ from the

theoretical expectations. They are also asked to suggest improvements to reduce the

uncertainties and errors.

Students are asked to perform analysis of theoretical problems to show mastery of application of the physical theories.

Representation Students are asked to write a conclusion that discusses the quality of the methods





Students are asked to perform analysis of theoretical problems to show mastery of

application of the physical theories.

Calculation or

Transformation

Students are asked to perform analysis of theoretical problems to show mastery of

application of the physical theories. Specific calculations are required.

Application/Analysis Students are asked to write a conclusion that discusses the quality of the methods





Assumptions Students are asked to write a conclusion that discusses the quality of the methods





Communication Students are asked to perform analysis of theoretical problems to show mastery of

application of the physical theories. Specific calculations are required.

Assignment Design Worksheet: Written Communication Course

Assignment Title

Assignment ID

PHYS 2325


(to be assigned)

Criterion Design (How does the assignment ask students to perform in the manner

expected by the criterion?)

Context of and

Purpose for Writing

Students are asked to explain the purpose of an experiment, what investigated

and what, specifically, they are were trying to determine.

Content

Development

Students are asked to explain the theory behind the experiment and how what


Genre and Disciplinary

Conventions

Students record data in a data table in accordance with the usual convention

for presenting data. In describing the purpose of the lab and theories students

should present relationships in terms of mathematical equations as is the

convention in physics.

Sources and

Evidence






Control of Syntax and Mechanics

Student are asked to explain the physical principles behind the lab in writing which can be assessed for syntax and mechanics.

Readability of

Visual Elements

Students organize data in tables.

Relevance,

Accuracy, and

Integration of

Visual Elements

Students organize data in tables. Percent errors are calculated and used as evidence.

Force Sensor 1 Hanger and Masses: 6-50 g; 2-100 g

Motion Sensor 1 Support Rod

Spring 1 Clamps: right angle; spring clamp; C-clamp

Simple Harmonic Motion - Mass on a Spring

(Force Sensor, Motion Sensor)

Equipment:

A spring that is hanging vertically from a support with no mass at the end of the spring has a

length L (called its rest length). When a mass is added to the

spring, its length increases by L. The equilibrium position of

the mass is now a distance L + L from the spring’s support. What happens when the mass is pulled down a small distance

from the equilibrium position? The spring exerts a restoring

force, F = -kx, where x is the distance the spring is displaced

from equilibrium and k is the force constant of the spring (also

called the ‘spring constant’). The negative sign indicates that

the force points opposite to the direction of the displacement of

the mass. The restoring force causes the mass to oscillate up

and down. The period of oscillation depends on the mass and

the spring constant.

As the mass oscillates, the energy continually interchanges

between kinetic energy and some form of potential energy. If

friction is ignored, the total energy of the system remains constant.

Computer Setup-1: 1. Connect the 850 Universal interface to the computer, turn on the interface, and turn on the

computer.

2. Connect the Force Sensor to Analog inputs.

3. Set the sensor to 5Hz.

Equipment Setup-1: 1. Mount the C-clamp to the edge of the table, put the rod in the clamp, mount the Force

Sensor vertically so its hook end is down.

2. Suspend the spring with hanger from the Force Sensor’s hook so that it hangs vertically.

3. Use the meter stick to measure the position of the bottom end of the spring (without any

mass added to the hanger). For your reference, record this measurement as the spring’s

equilibrium position in the Data Table-1 in the Lab Report section.

Procedure-1: Data Recording

1. Change the sensor sign

1.1. Click Hardware Setup In the Tools Palette

1.2. Click on the force sensor

1.3. Click Properties in the lower right corner of the Hardware Setup window.

The Properties Window opens.

1.4. Click Change Sign 1.5. Click OK

2. Press the TARE button on the side of the force sensor to zero the Force

Sensor.

3. For Entry #1, type in “0” (since the spring is not stretched yet). Record your

value in the table

4. Generate the Force vs. Distance graph

4.1. Choose from the Quick Start templates

4.2. Click <select Measurement> in the first column

4.3. Select Create New > User-Entered Data

4.4. Optional: Rename the measurement as “distance” units (m).

4.5. Click in the cell of the User-Entered data column and enter your data.

5. Click on the triangle

5.1. Select to keep data points when commanded

5.2. Click on “Keep Mode” to record the data run.

6. Add 50 grams of mass to the end of the hanger.

7. Measure the new position of the end of the spring at equilibrium. Enter the difference between

the new position and the equilibrium position as the ∆x, in the table under distance column

‘Stretch’ (in meters) , and record the Force value for this Stretch value by clicking on keep

sample .

8. Add 50 grams to the hanger (for a total of 100 g additional mass). Measure the new position

of the end of the spring, enter the ∆x value in the table under distance column and click

‘Keep sample’

9. Continue to add mass in 50 grams increments until you have added 300 grams. Each time you add mass, measure and enter the new displacement value from equilibrium. Click ‘Keep

sample’ to record the force value.

10. End data recording.

Analysis-1:

1. Click on the Selection tool ( ) drag and reshape the highlighted box on the best slop

region.

2. Use the Curve Fit ( ) to determine the slope of the Force vs. Stretch (∆x) Graph.

3. Then click on the triangle in the Curve Fit tool and select “Linear” to determine the slop

value then record it in the Data Table-1 at the Lab Report section.

a. You may need to move the linear Curve Fit box to read the best slope

Activity-2: Use the Motion Sensor and 850 Interface to record the motion of a mass on the end of the spring and determine the period of oscillation than compare the value to the theoretical period of

oscillation.

Computer Setup-2: 1. Unplug the Force Sensor’s plug from the interface.

2. Connect the Motion Sensor’s stereo phone plugs into Digital Channels 1 and 2 of the

interface. Plug the yellow-banded (pulse) plug into Digital Channel 1 and the second plug

(echo) into Digital Channel 2.

Equipment Setup-2: • You do not need to calibrate the Motion Sensor.

1. Using a support rod and C-clamp, suspend the spring from the spring

clamp so that it can move freely up-and-down. Attach it firmly to the

outermost position. Put a mass hanger on the end of the spring.

2. Find the mass of the spring. Add 200 g to the hanger.

3. Record the mass of the hanger, the 200 g, and 1/3 the mass of the

spring (in kg) in the Data section. Return the hanger and masses to the

end of the spring.

4. Place the Motion Sensor on the floor directly beneath the mass hanger.

5. Adjust the position of the spring so that the minimum distance from the

mass hanger to the

Motion Sensor is greater than the Motion Sensor’s minimum distance

(15 cm) at the

maximum stretch of the spring.

Procedure-2:

1. Zero the position

1.1. Click Hardware Setup In the Tools Palette

1.2. Click on the motion sensor

1.3. Click Properties in the lower right corner of the Hardware Setup window. The Properties

Window opens.

1.4. Select “Zero Sensor Now” and “zero the sensor.”

2. Pull the mass down to stretch the spring about 5 cm. Release the mass. Let it oscillate a few

times so the mass hanger will move up-and-down without much side-to-side motion.

3. Begin recording data.

4. The plots of the position and velocity of the oscillating mass will be displayed. Continue

recording for about 10 seconds.

5. End data recording.

5.1. The data will appear as ‘Run #1’.

5.2. The position curve should resemble the plot of a sine function. If it does not, check the

alignment between the Motion Sensor and the bottom of the mass hanger at the end of

the spring. You may need to increase the reflecting area of the mass hanger by attaching

a circular paper disk (about 2” diameter) to the bottom of the mass hanger.

5.3. To delete a run of data, click on ( ) in the Controls Palette. Analysis 2: 1. Rescale the Graph axes to fit the data.

1.1. Click on the ( ) to adjust y-axis scale to fit data.

2. Find the average period of oscillation of the mass by taking the difference in time between

any two peaks. Click the button ( ). 2.1. Move the Smart Tool to the first peak in the plot of position versus time and read the

data coordinates. Record the value of time in the Data Table-2 in the Lab Report section.

2.2. Move the Smart Tool to each consecutive peak in the plot and record the value of time

shown for each peak.

Record your results in the Lab Report section

Lab Report - Activity P14: Simple Harmonic Motion - Mass on a Spring Data Table-1

Item Value

Equilibrium Position

Spring Constant (slope)

Data Table-2

Mass = kg

Peak 1 2 3 4 5 6 7

Time (s)

Period (s)

Average period of oscillation = sec

Critical Thinking and Quantitative and Empirical Skills Assessment

(Complete Individually) 1. Calculate the theoretical value for the period of oscillation based on the measured value of

the spring constant of the spring and the mass on the end of the spring.

T = 2π m

k

2. How does your calculated value for oscillation compare to the measured value of the

period of oscillation? What is the percent difference?

3. When the position of the mass is farthest from the equilibrium position, what is the

velocity of the mass?

4. When the absolute value of the velocity of is greatest, where is the mass relative to the

equilibrium position?

5. A mass of 225 g is suspended from a vertical spring. It is then pulled down 15 cm and

released. The mass completes 10 oscillations in a time of 32 seconds. What is the force

constant for the spring?

6. A block of unknown mass is attached to a spring with a force constant of 6.50 N/m and

undergoes simple harmonic motion with an amplitude of 10.0 cm. When the block is

halfway between its equilibrium position and the end point, its speed is measured to be 30

cm/s. Calculate

a) the mass of the block,

b) the period of the motion, and

c) the maximum acceleration of the block.

Critical Thinking/Written Communication (Complete Individually) (Type at least a 1-page response.)

7. Purpose: State the purpose of the experiment. Explain exactly what the experiment

investigates and what you are trying to determine. Be as explicit and thorough as

possible. Explain the theory behind the experiment. Explain exactly what you measured

and how it was used to fulfill the purpose of the lab.

8. Conclusion: Discuss the percent error and the uncertainties involved in the measurements

and possible errors which made the experimental results different from the theoretical

results. Suggest possible improvements in the experiment which could reduce these

uncertainties.

title of the assignment: simple harmonic motion lab...

Documents